Describing units of integral group rings up to commensurability

Reference : Describing units of integral group rings up to commensurability


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/45736

Title :	Describing units of integral group rings up to commensurability
Language :	English
Author, co-author :	Eisele, F. [> >]
	Kiefer, Ann [University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET]
	Van Gelder, I. [> >]
Publication date :	2015
Journal title :	Journal of Pure and Applied Algebra
Volume :	219
Issue/season :	7
Pages :	2901--2916
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0022-4049
e-ISSN :	1873-1376
Keywords :	[en] Units in integral group rings ; Rational group representations ; Wedderburn Components
Abstract :	[en] We restrict the types of 2 × 2-matrix rings which can occur as simple components in the Wedderburn decomposition of the rational group algebra of a finite group. This results in a description up to commensurability of the group of units of the integral group ring ZG for all finite groups G that do not have a non-commutative Frobenius complement as a quotient.
Permalink :	http://hdl.handle.net/10993/45736

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